The thing that is important here is that both and being irratiational, are the operative components to
And this is where we come to some sort of a conclusion as to how square root of two and the golden ratio
in molar mass and density of bone might determine something physical about Nature. We consider that
such physical proportions in the lattice that makes bone, carry through to the proportions found in
humans:
Where we find the square root of two is interesting; we are all familiar with the golden ratio phi in the
human body. For instance in the height divided by the distance from the bottom of the feet to the navel.
But, the answer comes from archaeology.
The intermembral index compares the forelimbs of vertebrates to their hindlimbs. A ratio greater than one
means the forelimbs are longer than the hindlimbs and less than one the hindlimbs are longer. It is this
ratio that tells paleontologists a great deal about the manner of propulsion of a vertebrate.
The chimpanzee index is 106, or 1.06 in other words as a fraction, meaning their forelimbs are longer
than their hindlimbs compared to humans, which are around 68-70 or 0.68 to 0.7 meaning their hindlimbs
are longer than their forelimbs. Thus we see they have their forelimbs are longer for climbing, arm
hanging and swinging activities. The longer hindlimb of humans means they depend sole on these for
propulsion in bipedal walking. Lucy, the 3.2 million year old hominid (Australopithecus Afarensis) has
index 88 (0.88) intermediate between humans and chimpanzees, and this due to a shortened humerus, not
elongated thigh, showing arm length reduced first in the evolutionary trend toward being bipedal. She
probably used hindlimb for bipedal propulsion and forelimbs for climbing.
Measuring myself I find I have humerus+radius=22”, and femur+tibia=32”. My intermembral index is
about i=22/32=0.6875. And here is our :
Are we evolving towards an intermembral index of ?!